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Finding the Fourth Proportional to 1,844.28, 2,766.84 and 979.20

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Solution

The fourth proportional to 1,844.28, 2,766.84 and 979.20 is: 1,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.28 : 2,766.84 = 979.20 : x
  2. Step 2: Convert to fraction form
    1,844.28/2,766.84 = 979.20/x
  3. Step 3: Cross multiply
    1,844.28x = 2,766.84 × 979.20
  4. Step 4: Simplify right side
    1,844.28x = 2,709,289.73
  5. Step 5: Solve for x
    x = 2,709,289.73/1,844.28
  6. Step 6: Final answer
    x = 1,469.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.